Search a number
-
+
95043001000000 = 265697492
BaseRepresentation
bin10101100111000011101100…
…010100000010000001000000
3110110112000121011011112110011
4111213003230110002001000
544424141031224000000
6534050052450514304
726006426110640044
oct2547035424020100
9413460534145404
1095043001000000
1128313568331449
12a7abb78895994
134105693aa89a1
14196816a420024
15aec4472752ba
hex5670ec502040

95043001000000 has 147 divisors (see below), whose sum is σ = 235772360532187. Its totient is φ = 38013300800000.

The previous prime is 95043000999979. The next prime is 95043001000021. The reversal of 95043001000000 is 10034059.

The square root of 95043001000000 is 9749000.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (95043000999979) and next prime (95043001000021).

It can be written as a sum of positive squares in 10 ways, for example, as 44053804388416 + 50989196611584 = 6637304^2 + 7140672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9748995126 + ... + 9749004874.

Almost surely, 295043001000000 is an apocalyptic number.

95043001000000 is the 9749000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95043001000000

95043001000000 is an abundant number, since it is smaller than the sum of its proper divisors (140729359532187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95043001000000 is an frugal number, since it uses more digits than its factorization.

95043001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19540 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 95043001000000 its reverse (10034059), we get a palindrome (95043011034059).

The spelling of 95043001000000 in words is "ninety-five trillion, forty-three billion, one million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 9749 10000 12500 15625 19498 20000 25000 31250 38996 40000 48745 50000 62500 77992 97490 100000 125000 155984 194980 200000 243725 250000 311968 389960 487450 500000 623936 779920 974900 1000000 1218625 1559840 1949800 2437250 3119680 3899600 4874500 6093125 7799200 9749000 12186250 15598400 19498000 24372500 30465625 38996000 48745000 60931250 77992000 95043001 97490000 121862500 152328125 190086002 194980000 243725000 304656250 380172004 389960000 475215005 487450000 609312500 760344008 950430010 974900000 1218625000 1520688016 1900860020 1949800000 2376075025 2437250000 3041376032 3801720040 4752150050 4874500000 6082752064 7603440080 9504300100 9749000000 11880375125 15206880160 19008600200 23760750250 30413760320 38017200400 47521500500 59401875625 76034400800 95043001000 118803751250 152068801600 190086002000 237607502500 297009378125 380172004000 475215005000 594018756250 760344008000 950430010000 1188037512500 1485046890625 1900860020000 2376075025000 2970093781250 3801720040000 4752150050000 5940187562500 9504300100000 11880375125000 19008600200000 23760750250000 47521500500000 95043001000000